which equation shows the angle addition postulate?

$m\angle tuy + m\angle yuv = m\angle tuv$
$m\angle tuy + m\angle uvy = m\angle tvu$
$m\angle ytu + m\angle yuv = m\angle tuv$
$m\angle tuy + m\angle tuv = m\angle yuv$

$m\angle tuy = 60^{\circ}$ and $m\angle yuv = 71^{\circ}$.
find $m\angle tuv$.
$m\angle tuv =$

Question

which equation shows the angle addition postulate?

$m\angle tuy + m\angle yuv = m\angle tuv$
$m\angle tuy + m\angle uvy = m\angle tvu$
$m\angle ytu + m\angle yuv = m\angle tuv$
$m\angle tuy + m\angle tuv = m\angle yuv$

$m\angle tuy = 60^{\circ}$ and $m\angle yuv = 71^{\circ}$.
find $m\angle tuv$.
$m\angle tuv =$

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Angle Addition Postulate" ], "new_concepts": [], "current_concepts": [ "Angle Addition Postulate" ] } ## Identify the adjacent angles and the larger angle $$ \begin{aligned} &\text{Adjacent angles: } \angle TUY \text{ and } \angle YUV\ &\text{Larger angle: } \angle TUV \end{aligned} $$ ## Apply the Angle Addition Postulate $$ m\angle TUY + m\angle YUV = m\angle TUV $$ ## Calculate the measure of the larger angle $$ \begin{aligned} &m\angle TUY = 60^\circ\ &m\angle YUV = 71^\circ\ &m\angle TUV = 60^\circ + 71^\circ = 131^\circ \end{aligned} $$ ## Question 1 (A) m\angle TUY + m\angle YUV = m\angle TUV

(B) m\angle TUY + m\angle UVY = m\angle TVU

(C) m\angle YTU + m\angle YUV = m\angle TUV

(D) m\angle TUY + m\angle TUV = m\angle YUV ## Question 2 The measure of the angle is 131 degrees. { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Angle Addition Postulate" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the adjacent angles and the larger angle

Apply the Angle Addition Postulate

Calculate the measure of the larger angle

Answer:

Question 1

Question 2